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Finding the Fourth Proportional to 26,700, 36,846 and 14,924

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Solution

The fourth proportional to 26,700, 36,846 and 14,924 is: 20,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,700 : 36,846 = 14,924 : x
  2. Step 2: Convert to fraction form
    26,700/36,846 = 14,924/x
  3. Step 3: Cross multiply
    26,700x = 36,846 × 14,924
  4. Step 4: Simplify right side
    26,700x = 549,889,704
  5. Step 5: Solve for x
    x = 549,889,704/26,700
  6. Step 6: Final answer
    x = 20,595.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.